论文标题

限制定理用于离散时间鹰队流程

Limit theorems for a discrete-time Hawkes process

论文作者

Wang, Haixu

论文摘要

霍克斯过程是一个自我激发的样本过程。它在金融,社交网络,犯罪学,地震学和许多其他领域中具有广泛的应用。随着存储技术的发展,数据驱动的模型吸引了更多的关注。此外,实际上,事件通常是在离散时间方案中记录的。但是,为连续时间设置定义了霍克斯的过程。在本文中,我们研究了(Xu等,2020)首次提出的离散时间标记鹰队过程的极限定理。

The Hawkes process is a self-exciting sample point process. It has wide applications in finance, social networks, criminology, seismology, and many other fields. With the development of storage technology, data-driven models are attracting more attention. Furthermore, in reality, events are often recorded in a discrete-time scheme. However, Hawkes process is defined for continuous-time setting. In this paper, we study the limit theorems of a discrete-time marked Hawkes process first proposed in (Xu et al., 2020).

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